All categories

3 years ago

How do u find the domain to the first one

Mathematics

1 answer:

Kay [80]3 years ago

5 0

Answer:

The domain is (-infinity, -3) ∪ (-3, 3) ∪ (3, infinity)

Step-by-step explanation:

This function is defined for all t such that the denominatory t^2 - 9 is not zero (0). Purposely setting t^2 - 9 = 0, we find that t = 3 or t = -3.

This function defined everywhere except at {-3, 3}.

The domain is (-infinity, -3) ∪ (-3, 3) ∪ (3, infinity)

You might be interested in

I need help with this please.

SSSSS [86.1K]

Answer:

f ) x+72=90(complementary angle)

x= 90-72

x=18

g )x+77=90

x=90-77

x=13

plz give me thanks

7 0

3 years ago

Solve for the value of m. 38° (8m+4)°

Neporo4naja [7]

Answer:

m = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties
Combining Like Terms

Geometry

Complementary Angles - Angles that add up to 90°

Step-by-step explanation:

Step 1: Set Up Equation

The 2 angles must add up to 90°.

(8m + 4)° + 38° = 90°

Step 2: Solve for m

Combine like terms: 8m + 42 = 90
Isolate m term: 8m = 48
Isolate m: m = 6

4 0

3 years ago

The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is:

jolli1 [7]

Answer:

Yes, F is a continuous function of r

Step-by-step explanation:

We are given that

When r<R

$F(r)=\frac{GMr}{R^3}$

$r\geq R$

$F(r)=\frac{GM}{r^2}$

Where M=Mass of the earth

R=Radius of earth

G=Gravitational constant

We have to find the function is continuous of r or not.

LHL

$\lim_{r\rightarrow R-}\frac{GMr}{R^3}=\frac{GMR}{R^3}=\frac{GM}{R^2}$

RHL

$\lim_{r\rightarrow R+}\frac{GM}{R^2}=\frac{GM}{R^2}$

$F(R)=\frac{GM}{R^2}$

When a function is continuous at x=a

Then, LHL=RHL=f(a)

RHL==LHL=F(R)

Hence, the function is continuous of r.

8 0

3 years ago

Determine the value of x to the nearest thousandth in the equation 8(2)^x+3=48

solong [7]

You probably mean either

$8\cdot2^x + 3 = 48$

$8\cdot2^{x+3} = 48$

Write 8 = 2³, so that in the first interpretation,

$8\cdot2^x = 2^3 \cdot 2^x = 2^{x + 3}$

and in the second,

$8\cdot2^{x+3} = 2^3 \cdot 2^{x+3} = 2^{x + 6}$

Then in the first interpretation, we have

$2^{x + 3} + 3 = 48 \implies 2^{x + 3} = 45 \implies x + 3 = \log_2(45) \implies x = \log_2(45) - 3 \approx \boxed{2.492}$

Otherwise, the second interpretation gives

$2^{x + 6} = 48 \implies x + 6 = \log_2(48) \implies x = \log_2(48) - 6 \approx -0.415$

8 0

3 years ago

Waring Bank offers a 5% interest rate on a $4500 loan for a 3-year term. South Bank offers a 5% interest rate on a $4500 loan fo

Mariana [72]

4500 times 5% per year for 3 years = (4500*.05)*3 = answer 1

4500 times 5% per year for 4 years = (4500*.05)*4 = answer 2

Answer 2 minus answer 1 = jackpot

5 0

3 years ago